Download Mid Year Review

PHYSICS 11
NAME: ______________
Mid Year Review
Basic Skills (Sc. Not./Sig Figs/Unit Conversions/Graphing)
Convert the following to scientific notation in standard form
1)
43126
1)_________
2)
.0042
2)_________
3)
-700000
3)_________
4)
-.0000150
4)_________
5)
.0075 x 103
5)_________
6)
970 x 10-4
6)_________
7)
-.000516 x 10-5
7)_________
Round the following to the number of figures shown and convert to scientific notation in standard form
8)
634000
round to 2 figures
8)________
9)
.0345
round to 2 figures
9)________
10)
298.76 x 10-4
round to 1 figure
10)________
11)
8.651
round to 2 figures
11)________
Unit conversions
12)
3500 mm into km
12)_____________
13)
22.3 metres/second into km/hr
13)_____________
14)
4584 secs to min & hours
14)_____________
18/06/17
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747143773
PHYSICS 11
Indicate the number of significant figures in the number given
15)
32100.0
15)________
16)
.00123
16)________
17)
.20040
17)________
18)
7330.0
18)________
19)
3200 kilometres
19)________
20)
125 physics students
20)________
21)
.0300
21)________
Evaluate the following and use the correct number of significant figures in your answer
22)
22.5 x 3456
22)_____________
23)
33560000000.00000012
24.5
23)_____________
24)
. 3.2
 125
24)_____________
3.4
25)
9.02 + 4.5784 + 6.2
25)_____________
26)
2301 + 834 + 3.5
26)_____________
27)
.550
27)_____________
28)
(1.75)2
28)_____________
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PHYSICS 11
29)
Graphing
Graph the following data on the graph below:
X
Y
1.2
3.5
2.2
4.4
3.3
5.6
4.2
6.4
5.3
7.3
6.2
8.3
7.4
9.2
y
x
a)
Draw a slope triangle on the graph, and use it to determine the slope of the line from the graph
b)
Estimate the y-intercept of the graph, and combine it with the slope to determine the equation of the
line. Your answer should look like this: y=mx+b - write in your values for m and b.
Answers:
1.
2.
3.
4.
5.
6.
7.
4.3126x104
4.2x10-3
-7.0x105
-1.5x10-5
7.5
9.7x10-2
-5.16x10-9
8.
9.
10.
11.
12.
13.
14.
6.3x105
3.5x10-2
3x10-2
8.7
3.5x10-3 km
80.3 km/hr
76.4 min, 1.27 hr
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15.
16.
17.
18.
19.
20.
21.
6
3
5
5
2
3
3
22.
23.
24.
25.
26.
27.
28.
77800
160
1.2
19.8
3138.5
.742
3.06
PHYSICS 11
KINEMATICS REVIEW 1
Sketch a distance vs time graph for each of the following scenarios. If specific time, positions
and velocities are given, label them on the graph.
1. A car travelling north at a velocity of 50 km/h, slows down to 30 km/h when it enters a
school zone.
2. A boy walks away from the kitchen table, 4m to the right with a velocity of 2 m/s. He
spends 6 s getting a bowl out of the refrigerator, and then walks back to the table at 1
m/s.
3. At soccer practice the coach makes the players run back and forth between two lines,
four times.
4. The motion of two joggers is
recorded in the position-time graph
below. Calculate the average velocity
of jogger A and jogger B.
5. Given the position-time graph below,
determine which segment of the graph
represents each of the following.
(a) zero velocity
(b) positive slope
(c) moving north with a uniform velocity
(d) zero slope
(e) moving south with a uniform velocity
(f) negative slope
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PHYSICS 11
Kinematics RVW Cont’d.
Questions:
Use the graph to answer questions 1. & 2.
1. Determine the velocity of the object from the slope.
2. What is the position of the object after 3.5 s
Use the graph to answer questions 3. & 4.
3. Determine the velocity of the object at 4 s.
4. Explain why the slope is zero between 5 s & 10 s.
Use the graph to answer questions 5. & 6.
5. What is the initial position of the object?
6. What is its velocity?
Use the graph to answer question 7.
7. What is the displacement of the object after 3.5 s? Show your work.
8. Graph the following on a d vs. t graph:
An object travels at 5.0 m/s for 4 s. It then stops for 3.0 s. Finally it returns to it’s initial position travelling -2.0
m/s for 10s.
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PHYSICS 11
9. Describe 2 differences in the slopes of the line. What conclusions can you make about the direction and
steepness of the slope of d vs. t graph
10. For each of the following time intervals, describe the motion of the object represented by the position-time
graph. Be sure to include directions when needed.
(a) 0 s–6 s
(b) 6 s–10 s
(c) 10 s–12 s
(d) 12 s–16 s
(e) 16 s–18 s
(f) 18 s–20 s
11. Calculate the displacement for each of the time intervals in question 10.
12. For each of the time intervals in question 10, identify the slope of the line as positive, negative, or zero.
13. What total distance did this object travel in 20 s?
14. Match each of the following descriptions to the appropriate
line.
(a) The object starts at the origin and travels south with
uniform motion.
(b) The object starts 2 m [S] and travels north with uniform
motion.
(c) The object starts at the origin and travels north with
uniform motion.
(d) The object starts 2 m [N] and travels south with
uniform motion.
15. Use the graph below to fill in the chart below
During what time interval was the object moving the fastest? What direction was the object moving?
Page 6 of 16
PHYSICS 11
More Kinematics REVIEW
1.
A bike first accelerates from 0.0 m/s to 5.0 m/s in 4.5 s, then continues at this constant speed for another
4.5 s. What is the total distance traveled by the bike? 33.8 m
2.
A car traveling at 20 m/s when the driver sees a child standing in the road. He takes 0.80 s to react, then
steps on the brakes and slows at 7.0 m/s2. How far does the car go before it stops? 44.6 m
3.
A car starts 200 m west of the town square and moves with a constant velocity of 15 m/s toward the east.
Draw a graph that represents the motion of the car sorry, no graph.
a.
Write the equation that represents the motion of the car. d = 15 t – 200 (if west is considered
negative)
b.
Where will the car be 10 minutes later? 8800 m
c.
When will the car reach the town square? 13.3 s
4. At the same time the car in #3 left, a truck was 400 m east of the town square moving west at a constant
velocity of 12 m/s.
a.
Add the truck’s motion to the graph you drew for question #4. sorry, no graph.
b.
Write the equation that represents the motion of the truck. d = -12 t + 400
c.
Find the time and place where the car passed the truck. 22.2 s; 133 m east of town
5. A car is coasting backwards downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5
s, the car is moving uphill at 4.5 m/s. Assuming that uphill is positive direction, what is the car’s average
acceleration? 3.0 m/s2
6. A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s2. How many seconds are required before the
car is traveling 3.0 m/s? 9.04 s
8. An airplane starts from rest and accelerates at a constant rate of 3.00 m/s2 for 30.0 s before leaving the
ground.
a.
How far did it move? 1350 m
b.
How fast was it going when it took off? 96 m/s
10. A brick is dropped from a high scaffold.
a.
What is its velocity after 4.0 s? 39.2
b.
How far does the brick fall during this time? 78.4 m
11. A tennis ball is thrown straight up with an initial speed of 22.5 m/s. It is caught at the same distance above
the ground.
a.
How high does the ball rise? 25.8 m
b.
How long does the ball remain in the air? 4.6 s
13.
A bag is dropped for a hovering helicopter. When the bag has fallen for 2.0 s,
a.
b.
what is the bag’s velocity? 19.6 m/s
how far has the bag fallen? 19.6 m
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PHYSICS 11
Kinematics Review II
1.
Joe can run at 7.0 m/s. Sheila can run at 4.0 m/s. Joe gives Sheila a 40 m head-start. Using a distance vs
time graph...
a) Determine how long it takes Joe to catch
Sheila. 13.3 s
b) Determine how far Joe travels by the time he
catches Sheila. 93.3 m
c) At what time will Joe be 10 m ahead of
Sheila? 16.7 s
d) When Joe has run 200 m, how far has Sheila
run? 154.3 m
e)
Write equations for Joe’s motion and
Sheila’s motion. Joe d + 40 = 7.0 t;
Sheila d = 4.0 t OR Joe d = 7.0 t;
Sheila d = 4.0 t + 40
2. A motorcyclist accelerates from 3.0 m/s to 27 m/s in 4.0 s. What is his acceleration? 6.0 m/s2
3. A car accelerates at 5.0 m/s2 from an initial velocity of 14 m/s. How long will it take to reach a velocity of
65 m/s? 10.2 s
4. A car accelerates form rest at 12.0 m/s2 for 14.0 s.
a) How fast is it moving after 14.0 s? 168 m/s
b) How far has it traveled in this time? 1176 m = 1180 m
5. A skier accelerates down a slope with an acceleration of 4.2 m/s2. She passes the first timing gate at 18 m/s.
6.0 s later she passed a second timing gate.
a) How fast is she going as she passes the second gate? 43.2 m/s
b) What is the distance between the gates? 184 m/s
6. A motorcyclist starting from rest averages 24 m/s along a 500 m track. What was his acceleration? (Assume
constant acceleration) 2.3 m/s2
7. A block of wood was sliding along on level ice. Its initial speed was 18 m/s. If it took 15 seconds to come to
a complete stop, what was the acceleration due to friction? –1.2 m/s2
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PHYSICS 11
8. An object is dropped from rest near the surface of the Moon. The acceleration due to gravity on the Moon is
1.67 m/s2. What is the speed of the object after it has dropped 54 m? 13.4 m/s
9. A skier passes a photogate traveling at 12 m/s. 30 m further down the slope she passes another photogate
and is found to be traveling at 18 m/s. Assuming a constant slope what is the skier's acceleration? 3.0 m/s2
10. An astronaut jumps off a 3.0 m ledge on the moon. What is the astronaut's speed as he hits the ground? 3.17
m/s What would be the final speed of someone jumping off a similar ledge on earth? 7.67 m/s (Assume
negligible friction).
11. 1A ball is thrown vertically upwards at an initial speed of 26 m/s. The acceleration due to gravity is -9.8
m/s2 (downwards!). How long will the ball take to reach its maximum height? 2.65 s What is its maximum
height? 34.5 m
12. An object is thrown vertically upwards at 24 m/s. The acceleration due to gravity is 9.8 m/s2.
a)
Draw a velocity vs time graph representing the objects motion.
b)
How high will the object be after 2.0 s? 28.4
m
c)
How fast will the object be traveling after
2.0 s? 4.4 m/s
d)
How long will it take for the object to reach
its maximum height? (Hint: what do you
know about the velocity of an object at its
maximum height?) 2.45 s
e)
What is the object’s maximum height? 29.4
m
Page 9 of 16
PHYSICS 11
NEWTONS LAWS AND FORCES
1. What is the weight (Fg) of a 543 kg object on earth?
2. What is the distance between two 20.0 kg objects that have a mutual force of gravitational attraction of
3.0 x 10-7 N?
3. The constant G in the Law of Universal Gravitation has a value of 6.67 x 10-11 Nm2/kg2. Calculate the
force of gravity between:
a) 100.0 kg person and the earth (Mass of earth = 5.98 x 1024 kg, Radius of earth = 6.38 x 106 m)
b) 100.0 kg person and the moon (Mass of moon = 7.35 x 1022 kg, Radius of moon = 1.74 x 106 m)
4. A force of 120 N is needed to push a box along a road at a steady speed. If the force of gravity on the
box is 250 N, what is the coefficient of kinetic friction between the box and the road?
5. The coefficient of kinetic friction between a steel block and an ice rink surface is 0.0100. If a force of
24.5 N keeps the steel block moving at steady speed, what is the force of gravity on the block?
6. A 20.0 N force is used to stretch various rubber bands. Calculate the amount of stretch that will occur,
given each of the following spring constant.
(a) 200. N/m
(b) 100. N/m
7. A 15 kg box is pulled by a 40N horizontal force. The kinetic coefficient of friction is 0.1 and the static
coefficient is 0.2. Will the crate move? And if so, what is its acceleration?
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PHYSICS 11
Forces Review cont’d
Problems:
1. An average net force of 16 N acts on an object for 0.2 s causing it to accelerate from
rest to 3.5 m/s. Determine the acceleration of the object. What is the mass of the
object?
2. A horizontal force of 90 N is required to push a 75 kg object along a horizontal surface
at a constant speed. What is the magnitude of the force of friction?
3. An object of mass 525 kg is 3.0 x 103 km above the earth’s surface. The object is falling
toward the earth because of the earth’s gravitational force on it. What is the
gravitational field strength at this distance?
4. On the surface of planet Rozo, which has a mass of 7.9 x 1025 kg, an object has a weight
of 112 N and a mass of 75.0 kg. What is the radius of this planet?
5. An 85 N object is pulled along a horizontal surface by a force of 32 N. The frictional
force acting on the object is 14 N.
a) What is the net force acting on the object?
b) what is the acceleration of the object?
c) What is the coefficient of friction between the surfaces?
6. A 2.5 kg object is pulled along a horizontal surface at a constant velocity of 2.0 m/s by a
force of 3.0 N. What is the coefficient of friction between the surfaces?
7. A vertical spring (k = 86.6 N/m) is stretched 8.5 cm when an object is placed on it.
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PHYSICS 11
a) What is the force acting on the spring?
b) What is the mass of the object?
8. A 5.0 kg object rests on an incline plane at an angle of 25o. What is F  and F ?
9. A 4.0 kg mass is acted upon by a net force of 10 N [R]. What is the acceleration of the
mass?
10. A 75 kg box is pulled across a floor with an applied force of 120 N [L] against a 75 N
force of friction.
a) What is the net force acting on the box?
b)What is the acceleration of the box?
11. An horizontal force of 15 N [E] is applied to a 2.0 kg mass, which gives it an acceleration
of 3.0 m/s2 [E] sliding along a floor
a) What is the net force acting on the mass?
b) What is the force of friction experienced by the mass?
Answers
1) .914 kg
2) 90 N
3) 4.54 N/kg
4) 5.95 x 107m
5) 18 N, 2.1 m/s2, 0.16,
6) 0.12
7) 7.36 N, .75 kg
8) 44.4 N, 20.7 N
9) 2.5 m/s2 [R]
10) 45 N [L], 0.60 m/s2 [L]
11) 6.0 N [E], 9.0 N [W]
Page 12 of 16
PHYSICS 11
Newtons Laws REVIEW
1. A forward moving car is coasting to a stop on a straight, level road. The net
external force on the car must be
a)
b)
c)
d)
e)
zero
forward
backward
downward
upward
2. The acceleration of a moving object is ALWAYS in the direction
a)
b)
c)
d)
e)
of the initial velocity
of the final velocity
of the net force
of the frictional force
opposite to the frictional force
3. A dynamics cart of mass 0.20 kg, initially at rest is acted upon by an unbalanced
force of 3.0 N. The acceleration of the cart is
a) 0.070 m/s2
b) 1.5 m/s2
c) 7.5 m/s2
d) 15 m/s2
e) 30 m/s2
4. Susan pushes against a 100 kg rock with a force of 5.0 N, but the rock doesn't move.
The force the rock exerts on Susan is
a)
b)
c)
d)
0N
5.0 N
20 N
1.0 x 102 N
5. Suppose that the only forces acting on a 12 kg mass are those shown in the diagram.
The acceleration of the mass shown would be
a) 0.5 m/s2 [W]
b) 2.0 m/s2 [W]
c) 5.0 m/s2 [W]
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PHYSICS 11
d) 8.0 m/s2 [W] e)
24 m/s2 [W]
6. What force would cause a 250 kg motorcycle to have an average acceleration of
2.20 m/s2 for 3.50 seconds?
a)
b)
c)
d)
550 N
1110 N
32.6 N
317 N
7. A submarine is travelling underwater at a constant velocity. Which diagram
best represents the forces acting on the submarine ?
a)
b)
d)
e)
c)
8. A 10 kg mass is lifted so that it rises with an acceleration of 2.0 m/s2. (g = 10 N /
kg).
The net force exerted upwards is
a) 10 N
b) 20 N
c) 1.0 x 102 N
d) 1.2 x 102 N
e) 2.0 x 102 N
9. A cart weighing 490 N is pushed by a net force of 50 N. The acceleration of the cart
is
a) 1.0 m/s2
b) 10 m/s2
c) 100 m/s2
d) 1000 m/s2
10. What is the tension in the rope connecting the 12 kg and the 5.1 kg masses as
shown in the diagram? Consider the frictional forces to be minimal.
Page 14 of 16
PHYSICS 11
a)
b)
c)
d)
9.8 N
35 N
50 N
69 N
11. A string with a mass on each end hangs over a frictionless peg as shown in the
diagram.
The acceleration of the system is
a) 1.0 m/s2
b) 2.0 m/s2
c) 3.3 m/s2
d) 6.7 m/s2
e) 9.8 m/s2
12. Forces act on the object below as shown in the diagram. Find the net force.
13. A certain car, of mass 1500 kg, experiences an average air drag force of 820. N as
it moves along the road. If this car now is accelerated at a steady rate of 1.5
m/s2, and the air drag force remained the same, what forwards force must be
applied?
14. A certain force accelerates a 600 kg object at 5.2 m/s2, if the mass is suddenly
doubled but the force remains the same, what is the new acceleration (in m/s2)?
15. The motor of a boat exerts a forwards force of 22000 N, but a force of water
drag of 875 N must be considered. If the boat accelerates at a rate of 1.25
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PHYSICS 11
m/s2, what is it's mass?
16. Two frictionless boxes , A and B are tied together with a piece of string. Box A
has a mass of 5.0 kg and box B has a mass of 15.0 kg. A force of 50.0 N pulls box
A which drags box B along behind it.
a) What is the acceleration of the two boxes together?
b) How much force does the string behind box A pull box B with?
c) Although a 50.0 N force pulls box A, the net force on box A is much less.
What is it?
Page 16 of 16